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Find the general solution of the system x'(t) = Ax(t) for the given matrix A. A = -1 1 0 1 4 1 0 131 What are the eigenvalues of the matrix A? The eigenvalues are -1, -3,6 . (Type an integer or a fraction. Use a comma to separate answers as needed.) What is the general solution of the system? x(t)= (Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.)

Find the general solution of the system x'(t) = Ax(t) for the given matrix A. A = -1 1 0 1 4 1 0 131 What are the eigenvalues of the matrix A? The eigenvalues are -1, -3,6 . (Type an integer or a fraction. Use a comma to separate answers as needed.) What is the general solution of the system? x(t)= (Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find the general solution of the system x'(t) = Ax(t) for the given matrix A. A = -1 1 0 1 4 1 0 131 What are the eigenvalues of the matrix A? The eigenvalues are -1, -3,6. (Type an integer or a fraction. Use a comma to separate answers as needed.) What is the general solution of the system? x(t)= (Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.)
Transcribed Image Text:Find the general solution of the system x'(t) = Ax(t) for the given matrix A. A = -1 1 0 1 4 1 0 131 What are the eigenvalues of the matrix A? The eigenvalues are -1, -3,6. (Type an integer or a fraction. Use a comma to separate answers as needed.) What is the general solution of the system? x(t)= (Do not use d, D, e, E, i, or I as arbitrary constants since these letters already have defined meanings.)
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